Please get in touch with the Ministry of Overseas Recruitment and also reach out to your country area P.O.E Officials (Protector of Emigrants).
You had not mentioned whether you will be handling internal or overseas recruitment. If overseas recruitment, then yes, you definitely need a license from the Indian Government. All overseas recruitment firms need to obtain permission from the Central Government. If internal recruitment is what you are referring to, you can simply register your company. It would be advisable to contact a Chartered Accountant (CA) as they will be fully aware of these procedures.
[Link to the Airports Authority of India website](http://www.airportsindia.org.in/immigration/ecnr_ecr.jsp)